Heat Capacity

Q. The pressure of $1\text{g}$ of an ideal gas $A$ at $300\text{K}$ is found to be 2 bar. When $2\text{g}$ of another ideal gas $B$ is introduced in the same flask at the same temperature, the pressure becomes 3 bar. Which of the following is correct?
$(m_A$ = mass of gas A; $m_B$ mass of gas B$)$

1. $m_B=4m_A$
2. $m_A=3m_B$
3. $m_B=3m_A$
4. $m_A=m_B$

Q. Heat capacity is a state function.

1. True
2. False

Q. Determine the heat energy needed to increase the temperature of $10.0\text{mol}$ of mercury by $7.5K$. The value of heat capacity for given amount of mercury is $27.8kJ{K}^{-1}$

1. $208.5\text{J}$
2. $2085\text{J}$
3. $208.5\text{kJ}$
4. $2805\text{J}$

Q. In a container, two mole of a diatomic ideal gas is allowed to expand against 1 atm pressure and its volume changes from 2 litre to 5 litre isobarically. calculate the change in internal energy (in atm L)

1. 7.5
2. 6.5
3. 5
4. 3

Q. (i) There are four d-block series.
(ii) Total d-block elements are 40.
(iii) Last d-block series starts with element actinium.
(iv) All members of d-block series are transition metal.
The correct statements are :

1. (i), (ii) and (iii)
2. (i) and (iii)
3. (i) and (v)
4. All

Q. Which of the following lines correctly show the temperature dependence of equilibrium constant K, for an exothermic reaction?

1. A and D
2. A and B
3. B and C
4. C and D

Q. For the diatomic ideal gas in the closed system which of the following plots does not correctly describe the relation between various thermodynamic quantities ?

1. 
2. 
3. .
4. .

Q. What mass of glucose is required to produce $88\text{g}$ of $C{O}_2$ on complete combustion?

1. $30\text{g}$
2. $45\text{g}$
3. $60\text{g}$
4. $22\text{g}$

Q. One mole of an ideal monoatomic gas is heated at a constant pressure of one atmosphere from $0^{\circ }$ to ${100}^{\circ }C$ then the change in the internal energy is

1. $6.56joules$
2. $8.32\times {10}^{2}joules$
3. $12.48\times {10}^{2}joules$
4. $20.80joules$

Q. A monoatomic gas of $n$-moles is heated from temperature $T_1$ to $T_2$ under two different conditions
(i) at constant volume and
(ii) at constant pressure.
The change in internal energy of the gas is :

1. More for (i)
2. More for (ii)
3. Same in both cases
4. Independent of number of moles

Q. One calorie is equal to

1. 0.4184 Joule
2. 4.184 Joule
3. 41.84 Joule
4. 418.4 Joule

Q. In a container, two mole of a diatomic ideal gas is allowed to expand against 1 atm pressure and its volume changes from 2 litre to 5 litre isobarically. calculate the change in internal energy (in atm L)

1. 7.5
2. 6.5
3. 5
4. 3

Q. Temperature of one mole of helium gas is increased by $4^{\circ }C$. Thus, the increase in internal energy is:

1. $6cal$
2. $12cal$
3. $3cal$
4. $24cal$

Q. A piece of zinc at a temperature of ${20}^{o}C$ weighing 65.38 g is dropped into 180 g of boiling water $(T={100}^{o}C).$ The specific heat of zinc is $0.4J{g}^{-1\circ }{C}^{-1}$ and that of water is $4.2J{g}^{-1o}{C}^{-1}.$ What is the final common temperature reached by both the zinc and water?

1. $97.3{}^{o}C$
2. $33.4{}^{o}C$
3. $80.1{}^{o}C$
4. $60.0{}^{o}C$

Q. One calorie is equal to

1. 0.4184 Joule
2. 4.184 Joule
3. 41.84 Joule
4. 418.4 Joule