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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4

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3

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2

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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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