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

Answer

A

Explanation

We know for an ideal gas, pV = nRT (ideal gas equation) `rArr` n=number of moles, p = pressure, V = volume
R= gas constant, T = temperature
`=(pV)/(RT)`
As number of molees of the gas remains fixed, hence we can write
`(p_(1)V_(1))/(RT_(1))=(p_(2)V_(2))/(RT_(2))rArrp_(2)=(P_(1)V_(1))((T_(2))/(V_(2)T_(1)))`
`=((p)(V)(11T))/((105)V(T))" "[(p_(1)=p)/(V_(2)=105 and T_(2)=11T)]`
`=pxx(1.1/1.05)=p(1.0476)=1.05p`