Thermodynamics Test

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Thermodynamics Test - 83

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Weekly Quiz Competition

Question 1
1 / -0

A body cools from $$71^0C$$ to $$69^0C$$ in $$4$$ minutes. If the surrounding temperature is constant at $$20^0C$$. Time taken by the body to cool from $$61^0C$$ to $$59^0C$$ is

A
$$5$$ minutes

B
$$4$$ minutes

C
$$6$$ minutes

D
$$3$$ minutes

Solution
Question 2
1 / -0

Laplace told that this process is adiabatic
$$PV^r$$=const.
ditfrentiatiy c+ w.r.t v

A
B = rp

B
v =$$ \sqrt{\dfrac{r\rho}{p}}$$

C
v =$$ \sqrt{\dfrac{rRT}{n}}$$

D
none of these
Question 3
1 / -0

A mixture of ideal gasses $$N_{2}$$ and $$He$$ are taken in the mass ratio of $$14 : 1$$ respectively. Molar heat capacity of the mixture at constant pressure is.

A
$$\dfrac{19 R}{48}$$

B
$$\dfrac{6 R}{19}$$

C
$$\dfrac{13 R}{6}$$

D
$$\dfrac{6 R}{13}$$

Solution
Question 4
1 / -0

The molar heat capacity for an ideal gas cannot.

A
be negative

B
be equal to either $${C_v}\;or\;{C_p}$$

C
Lie in the range $${C_v}\; \leqslant \;C \leqslant {C_p}$$

D
It may have any value between $$ - \infty \;and\; + \infty $$

Solution

The molar heat capacity of an ideal gas can have any value between $- \infty$ and $+ \infty$
Question 5
1 / -0

An ideal gas at $$27^{\circ}C$$ a gas is compressed adiabatically such that its pressure becomes $$(1/8)$$ of the original pressure. The final temperature will be $$(\gamma =\frac{5}{3})$$

A
$$420K$$

B
$$300K$$

C
$$-142^{\circ}C$$

D
$$375^{\circ}C$$
Question 6
1 / -0

One mole of an ideal monoatomic gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to rise the temperature by the same 10 K, the heat required is [Given the gas constant R = 8.3 J/mol-K]

A
198.7 J

B
29 J

C
215.3 J

D
124 J

Solution
Question 7
1 / -0

A mass of a gas at $$0^\circ$$ is expanded adiabatically so that its volume becomes 4 times the original the temperature of gas will fall :$$(\gamma = 1.5)$$

A
136.5 K

B
9.8 K

C
65 K

D
32 K

Solution
Question 8
1 / -0

The molar heat capacity for an ideal gas

A
Cannot be negative

B
Must be equal to either $$C_p$$ or $$C_v$$

C
Must lie in the range $$C _ { V } \leq C \leq C _ { p }$$

D
May have any value between $$-\infty$$ to $$+\infty$$

Solution
Question 9
1 / -0

Work done by a sample of an ideal gas in a process A is double the work done in another process B. The temperature rises through the same amount in the two processes. If $$ C_A \: and \: C_B $$ be the molar heat capacities for the two processes.

A
$$ C_A=C_B $$

B
$$ C_A>C_B $$

C
$$C_A<C_B$$

D
none of these
Question 10
1 / -0

Two cyclic processes are shown on a P-V diagram. The working fluid is an ideal gas. Four points $$A,B,C$$ and $$D$$ are marked on the P-V diagram I and corresponding thermodynamic co-ordinates are given. Similarly, four points $$A',B',C'$$ and $$D'$$ are marked on the P-V diagram II. Here, the P and V scales are so chosen that these cycles on P-V diagram appear to be circular
Analyse these cycles on P-V diagram and answer the following question about these processes.
What is the net work done in the process I?

A
$$\cfrac{\pi{P}_{0}{V}_{0}}{4}$$

B
$$-\cfrac{\pi{P}_{0}{V}_{0}}{4}$$

C
$$\cfrac{(12+\pi){P}_{0}{V}_{0}}{8}$$

D
$$-\cfrac{(12+\pi){P}_{0}{V}_{0}}{8}$$

Solution