Or, L = [M1 L2 T 2] × [M1 L0 T0] 1 = [M0 L2 T 2]. Therefore, latent heat is dimensionally represented as [M0 L2 T 2].

What is the unit of specific heat?

specific heat, the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree. The units of specific heat are usually calories or joules per gram per Celsius degree. For example, the specific heat of water is 1 calorie (or 4,186 joules) per gram per Celsius degree.

Which is dimensionless quantity specific heat?

Heat capacity is the amount of heat needed to change the temperature of a unit mass 1°. … Like specific gravity, specific heat is a dimensionless quantity, i.e., a pure number having no unit of measurement associated with it.

What is the dimensional formula of molar specific heat?

So, the dimensional formula of specific heat capacity is M\[0\]L\[2\]T\[−2\]K\[−1\].

What is the dimension of specific?

Dimensional Formula:

Physical quantity Unit Dimensional formula
Specific heat (Q = mst) Jkg 1θ 1 M oL 2T 2θ 1
Specific volume (1/density) m 3kg 1 M 1L 3
Speed (distance/time) ms 1 LT 1
Stefan’s constant (heat energyarea×time×temperature4) Wm 2θ 4 ML oT 3θ 4

How do you find the dimension of heat?

Work = [M1 L1 T 2] × [M0 L1 T0] = [M1 L2 T 2]. Therefore, heat energy is dimensionally represented as [M1 L2 T 2].

What is a high specific heat?

A high specific heat capacity means it can hold a large amount of thermal energy in for a low mass or temperature change. It is also good at keeping in thermal energy, for example: Object: Mass = 3kg. ΔT = 10K.

What is the specific heat of water in kJ?

4.187 kJ/kgK Specific heat (Cp) water (at 15°C/60°F): 4.187 kJ/kgK = 1.001 Btu(IT)/(lbm °F) or kcal/(kg K)

What is the SHC of water?

4,200 Joules per kilogram per degree The specific heat capacity of water is 4,200 Joules per kilogram per degree Celsius (J/kg°C). This means that it takes 4,200 J to raise the temperature of 1 kg of water by 1°C. Lead will warm up and cool down fastest because it doesn’t take much energy to change its temperature.

Which of the following is Dimension quantity?

The seven fundamental quantities are enclosed in square brackets [ ] to represent its dimensions. … Definition of Dimensions of Physical Quantities.

Fundamental Quantity Dimension
Time T
Temperature K
Electric Current A
Luminous Intensity Cd

What is the dimension of strain?

ML2T−2.

Is specific heat capacity a constant?

The heat capacity is an extensive property, scaling with the size of the system. The heat capacity of most systems is not constant (though it can often be treated as such). It depends on the temperature, pressure, and volume of the system under consideration.

Which of the following is the dimensional formula for specific heat?

What is the dimensional formula of specific heat? Therefore, the dimensional formula is [M0L2T 2K 1].

What is dimensional formula?

Dimensional formula (equation) (Definition) : An equation, which gives the relation between fundamental units and derived units in terms of dimensions is called dimensional formula (equation). In mechanics the length, mass and time are taken as three base dimensions and are represented by letters L, M, T respectively.

What is the dimensional analysis of specific heat capacity?

The specific heat capacity of a substance (per unit of mass) has dimension L2⋅Θ 1⋅T 2, or (L/T)2/Θ. Therefore, the SI unit J⋅kg 1⋅K 1 is equivalent to metre squared per second squared per kelvin (m2⋅K 1⋅s 2).

What is the dimension of temperature?

The above expression is dimensionless and has a value of 1. …

Primary Dimension temperature
Symbol T (sometimes q )
SI unit K (Kelvin)
BG unit oR( degreeRankine )
English unit R (Rankine)

What is the dimension of thermal conductivity?

The dimension of thermal conductivity is M1L1T 3Θ 1, expressed in terms of the dimensions mass (M), length (L), time (T), and temperature (Θ). Other units which are closely related to the thermal conductivity are in common use in the construction and textile industries.

What is the dimension of conductivity?

[M2L3T−3A2]

How do you write the formula for heat?

To calculate the amount of heat released in a chemical reaction, use the equation Q = mc ΔT, where Q is the heat energy transferred (in joules), m is the mass of the liquid being heated (in kilograms), c is the specific heat capacity of the liquid (joule per kilogram degrees Celsius), and ΔT is the change in …

What is the dimensional formula of Delta Q?

[ML2T−2]

What is the formula of heating effect?

Hence the heating effect produced by an electric current, I through a conductor of resistance, R for a time, t is given by H = I2Rt. This equation is called the Joule’s equation of electrical heating.

What does a small specific heat mean?

Explanation: Specific heat is Jg−oK . … A low value means that it does not take very much energy to heat or cool it. Adding heat to a “low specific heat” compound will increase its temperature much more quickly than adding heat to a high specific heat compound.

Why is water’s heat capacity so high?

Water has a higher specific heat capacity because of the strength of the hydrogen bonds. It requires a significant of energy to separate these bonds.

Why is heat of vaporization important to life?

We use high heat of vaporization to cool off on a hot day. When we sweat, the evaporating water absorbs about 540 calories of heat from the body for each gram of water that evaporates. If this water property didn’t exist your body would over heat and cause you to die and the earth would overheat .

How do you calculate heat in kJ?

Example: If 10 kilograms of water are heated from 10 degrees Celsius to 50 degrees Celsius, how much energy (in joules) did they absorb? Answer: The specific heat capacity of water is (roughly) 4.184 kilojoules / kg K. (10 kg) × (40 degrees Celsius temperature change) × (4.184 kJ / kg K) = 1673.6 kilojoules.

What is the specific heat of water in kJ mol?

4.184 Heat Capacities for Some Select Substances

Substance specific heat capacity Cp , s (J/g °C) molar heat capacity Cp , m (J/mol °C)
titanium 0.523 26.06
water (ice, O°C) 2.09 37.66
water 4.184 75.38
water (steam, 100°C) 2.03 36.57

What is the specific heat of steam in joules?

1.996 kJ/kgK Explanation: The specific heat capacity, or the amount of heat needed to raise the temperature of a specific substance in a specific form one degree Celsius, for water is 4.187 kJ/kgK, for ice 2.108 kJ/kgK, and for water vapor (steam) 1.996 kJ/kgK.

What is the SHC of Aluminium?

The actual value for the specific heat capacity of aluminium is 900 J/kg°C.

What is the specific heat of water at 100 C?

4.184 J·g 1 Raise the temperature of liquid water from 80˚C to the boiling point, 100˚C, using the specific heat of water, C = 4.184 J·g 1K 1.

What is the specific heat of h2o?

Water has a specific heat capacity of 4.186 J/g°C, meaning that it requires 4.186 J of energy (1 calorie) to heat a gram by one degree. Specific heat capacity is the amount of heat needed to raise one gram of a material by one degree celsius (oC).