What is the temperature at which the kinetic | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The kinetic energy $(KE)$ of an ideal gas is given by the formula $KE = nRT$, where $n$ is the number of moles, $R$ is the gas constant, and $T$ i

Vedclass · Accepted Answer

$533$

Vedclass · Answer

(C) The kinetic energy $(KE)$ of an ideal gas is given by the formula $KE = nRT$, where $n$ is the number of moles, $R$ is the gas constant, and $T$ is the temperature in Kelvin.Given:For helium: $n_{He} = 0.3 	ext{ mol}$For argon: $n_{Ar} = 0.4 	ext{ mol}$, $T_{Ar} = 400 	ext{ K}$According to the problem, $KE_{He} = KE_{Ar}$.Substituting the values:$0.3 	imes R 	imes T = 0.4 	imes R 	imes 400$Dividing both sides by $R$:$0.3 	imes T = 160$$T = \frac{160}{0.3} = 533.33 	ext{ K} \approx 533 	ext{ K}$.

What is the temperature at which the kinetic energy of $0.3 \text{ moles}$ of helium is equal to the kinetic energy of $0.4 \text{ moles}$ of argon at $400 \text{ K}$ (in $\text{ K}$)?

Similar Questions

Adiabatic demagnetisation is a technique used for

Assertion: Use of pressure cooker reduces cooking time.
Reason: At higher pressure,cooking occurs faster.

$A$ $x : 1$ molar mixture of $He$ and $CH_4$ is contained in a vessel at $20 \ bar$ pressure. Due to a hole in the vessel,the gas mixture leaks out. If the composition of the mixture effusing out initially is $8 : 1$,then the value of $x$ will be

Choose the incorrect statement from the following:

Which of the following sets consists of gases with the same rate of diffusion?

Vedclass Test Series

Exam Paper Generator

Online Exam Module