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

Answer

B

Explanation

A thermally insulated vessel contains monoatomic eas.
Speed of Vessel, `V = 30 m//s`
Molar mass of gas, `m = 83g //mol = 0.083` kg/mole
`R = 8.3 J//K-mol`
Since, `V sqrt((3RT)/(m))`
`implies 30= sqrt((3xx 8.3 xxT)/(0.083))`
`30 = sqrt(300 T)`
` 300 T = 900`
`T =3 K`
`therefore` Increase in gas temperature `= 3 k.`