MHT CET · Physics · Kinetic Theory of Gases
The average force applied on the walls of a closed container depends on \(\mathrm{T}^{\mathrm{x}}\) where \(\mathrm{T}\) is the temperature of an ideal gas. The value of ' \(x\) ' is
- A \(4\)
- B \(3\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned}
& P=\frac{F}{A} \\
\therefore \quad P & \propto F .... (i)
\end{aligned}\)
From Ideal Gas Equation,
\(\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{V}}\)
When \(\mathrm{V}\) remains constant,
\(\mathrm{P} \propto \mathrm{T}.... (ii)\)
Comparing (i) and (ii)
\(\mathrm{F} \propto \mathrm{T}^{\mathrm{x}}\)
\(\therefore \quad x=1\)
& P=\frac{F}{A} \\
\therefore \quad P & \propto F .... (i)
\end{aligned}\)
From Ideal Gas Equation,
\(\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{V}}\)
When \(\mathrm{V}\) remains constant,
\(\mathrm{P} \propto \mathrm{T}.... (ii)\)
Comparing (i) and (ii)
\(\mathrm{F} \propto \mathrm{T}^{\mathrm{x}}\)
\(\therefore \quad x=1\)
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