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

Options

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

Answer

D

Explanation

Number of moles remain constant
`n_(1) + n_(2) = n_(1)' + n_(2)' implies (P_(1)V_(1))/(RT_(1)) + (P_(2)V_(2))/(RT_(2)) = (P_(1)'V_(1)')/(RT_(1)') + (P_(2)'V_(2)')/(RT_(2)')`
` implies T = 273 xx 3K = (273 xx 3 - 273) "^(@)C = 546^(@)C`