Question 813: Thermodynamics & KTG

Question

The average force applied on the walls of a closed container depends on $$T^x$$ where $$T$$ is the temperature of an ideal gas. The value of '$$x$$' is

Accepted Answer

$$\begin{aligned}
& P=\frac{F}{A} \
	herefore \quad P & \propto F \quad 	ext{..... (i)}
\end{aligned}$$
From Ideal Gas Equation,
$$\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{V}}$$
When V remains constant,
$$\mathrm{P} \propto \mathrm{T}$$ ..... (ii)
Comparing (i) and (ii)
$$\mathrm{F} \propto \mathrm{T}^{\mathrm{x}}$$
$$	herefore \quad \mathrm{x}=1$$

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Thermodynamics & KTG

The average force applied on the walls of a closed container depends on $T^x where T is the temperature of an ideal gas. The value of 'x$' is

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