A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m / s. If container is suddenly stopped then change in temperature of the gas ( R =. gas constant) is ( x /3 R ) . Value of x is

Question

A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m / s. If container is suddenly stopped then change in temperature of the gas ( R =. gas constant) is ( x /3 R ) . Value of x is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Given that mass of gas is 4 u hence its molar mass M is 4 g / mol ∴ (1/2) mv 2= nC v Δ T (1/2) m ×(30)2=( m / M ) × (3 R /2) × Δ T ∴ Δ T =(3600/3 R )

Q. A monoatomic gas of mass $4.0 u$ is kept in an insulated container. Container is moving with velocity $30 m / s$ . If container is suddenly stopped then change in temperature of the gas
$(R =$ gas constant) is $\frac{x}{3 R} .$ Value of $x$ is___

Given that mass of gas is $4 u$ hence its molar mass $M$ is $4 g / m o l$
$∴ \frac{1}{2} m v^{2} = n C_{v} Δ T$
$\frac{1}{2} m \times (30)^{2} = \frac{m}{M} \times \frac{3 R}{2} \times Δ T$
$∴ Δ T = \frac{3600}{3 R}$

Q. A monoatomic gas of mass 4.0u is kept in an insulated container. Container is moving with velocity 30m/s. If container is suddenly stopped then change in temperature of the gas (R= gas constant) is 3Rx​. Value of x is___

Given that mass of gas is 4u hence its molar mass M is 4g/mol ∴21​mv2=nCv​ΔT 21​m×(30)2=Mm​×23R​×ΔT ∴ΔT=3R3600​

Q. A monoatomic gas of mass $4.0 u$ is kept in an insulated container. Container is moving with velocity $30 m / s$ . If container is suddenly stopped then change in temperature of the gas
$(R =$ gas constant) is $\frac{x}{3 R} .$ Value of $x$ is___

Given that mass of gas is $4 u$ hence its molar mass $M$ is $4 g / m o l$
$∴ \frac{1}{2} m v^{2} = n C_{v} Δ T$
$\frac{1}{2} m \times (30)^{2} = \frac{m}{M} \times \frac{3 R}{2} \times Δ T$
$∴ Δ T = \frac{3600}{3 R}$