An inflated rubber balloon contains one mole of an ideal gas has a pressure p, volume V and temperature T. if the temperature rises to 1.1 T, and the volume is increased to 1.05 V, the final pressure will be

Options

A. `1.1p`
B. p
C. less than `p`
D. between `p` and `1.1p`

Answer

D

Explanation

Here, `p_(1) = p, upsilon_(1) =V , T_(1)=T, T_(2) = 1.1 T, upsilon_(2) = 1.05 V, p_(2)=?`
from `(p_(2)upsilon_(2))/(T_2) = (p_(1)upsilon_(1))/(T_1)`
`p_(2)=p_(1) (upsilon_(1))/(upsilon_2)*(T_2)/(T_1) = p xx V/(1.05 V) xx (1.1T)/(T) = (1.1p)/(1.05) = 1.05p`.