Question

Thermal capacity of $$40\,g$$  of aluminium $$\left( {s = 0.2\,cal/g - K} \right)$$    is

A. $$168\,J{/^ \circ }C$$
B. $$672\,J{/^ \circ }C$$
C. $$840\,J{/^ \circ }C$$
D. $$33.6\,J{/^ \circ }C$$  
Answer :   $$33.6\,J{/^ \circ }C$$
Solution :
Thermal capacity of a body is defined as the amount of heat required to raise the temperature of the (whole) body through $${1^ \circ }C$$ or $$1K.$$
Amount of heat energy required $$\left( {\Delta Q} \right)$$  to raise the temperature of mass $$m$$ of a body through temperature range $$\left( {\Delta T} \right)$$  is $$\Delta Q = sm\left( {\Delta T} \right)$$
where, $$s$$ is specific heat of the body,
when $$\Delta T = 1K,\Delta Q =$$    thermal capacity
∴ Thermal capacity $$ = s \times m \times 1$$
$$ = ms$$
Here, $$m = 40\,g,s = 0.2\,cal/g\,K$$
∴ Thermal capacity $$ = 40 \times 0.2 = 8\,cal{/^ \circ }C$$
$$ = 4.2 \times 8\,J{/^ \circ }C = 33.6\,J{/^ \circ }C$$

Releted MCQ Question on
Heat and Thermodynamics >> Kinetic Theory of Gases

Releted Question 1

A constant volume gas thermometer works on

A. The Principle of Archimedes
B. Boyle’s Law
C. Pascal’s Law
D. Charle’s Law
Releted Question 2

From the following statements concerning ideal gas at any given temperature $$T,$$ select the correct one(s)

A. The co-efficient of volume expansion at constant pressure is the same for all ideal gases
B. The average translational kinetic energy per molecule of oxygen gas is $$3kT, k$$   being Boltzmann constant
C. The mean - free path of molecules increases with increases in the pressure
D. In a gaseous mixture, the average translational kinetic energy of the molecules of each component is different
Releted Question 3

The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$  The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is

A. 0.0015
B. 0.003
C. 0.048
D. 0.768
Releted Question 4

A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$  gas (relative molar mass 4) at a temperature $$2\,T$$  has a pressure of

A. $$\frac{P}{8}$$
B. $$P$$
C. $$2\,P$$
D. $$8\,P$$

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Kinetic Theory of Gases


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