A gas perform a process as shown in VT diagram. Choose the correct option(s).

V - T is linear and can be expressed as v = a - bT Now P V = n R T ⇒ P = n R T a - b T . E v i d e n t l y w i t h r i s e i n T , p r e s s u r e P i n c r e a s e s . and C = C V + p d V n d T = C v + a n R a - b T

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A gas perform a process as shown in $\frac{V}{T}$ diagram. Choose the correct option(s).

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The process cannot be represented as $P^{a} V^{b} T^{c} =$ constant, where $a, b, c$ are real numbers.

Specific heat capacity is dependent on temperature

Pressure of the gas monotonically decreases

Pressure of the gas monotonically increases

answer is A, B, D.

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Detailed Solution

$V - T$ is linear and can be expressed as v = a - bT

Now $P V = n R T$ $\Rightarrow P = \frac{n R T}{a - b T} . E v i d e n t l y w i t h r i s e i n T, p r e s s u r e P i n c r e a s e s .$ and $C = C_{V} + \frac{p d V}{n d T} = C_{v} + \frac{a n R}{a - b T}$

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