A thermally insulated vessel containing monatomic gas is moving with a speed of 30 m/s. If the vessel suddenly stops, the increase in gas temperature is (Molar mass of gas = 83 g/mol and R = 8.3J/K mol)

Options

A. 1K
B. 3K
C. 4K
D. 6K

Answer

B

Explanation

Given, velocity of monatomic gas,
v = 30 m/s
molar mass of gas, m 83 g/mole = 0.083 kg/mole
and gas constant, R = 8.3J/K-mol
`therefore` As we know that `v = sqrt ( (3RT)/(m) )`
30 = sqrt ( (3 xx 8.3 xx T)/(0.083) )`
` 30 = sqrt(300T)`
` rArr 900 = 300 T rArr T = 900/300`
`T = 3K`