Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at `N.T.P.` If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes `1.5` times. The temperature of hot bath will be

Options

A. `100^@C`
B. `182^@C`
C. `256^@C`
D. `546^@C`

Answer

D

Explanation

As no. of moles in both bulb = final no. of moles
`rArrn_1+n_2=n_1+n_2`
`rArr(PV)/(R(273))+(PV)/(R(273))=(1.5PV)/(R(273))+(1.5PV)/(R(T))`
`rArrT=819K=546^@C`