Question

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 ______.

विकल्प

• 1.1 p

• p

• less than p

• between p and 1.1.

Answer 1

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 between p and 1.1.

Explanation:

According to the equation of ideal gas, PV = nRT

P = pressure

V = volume

n = Number of moles of gases

R = gas constant

T = temperature

Thus we have to rewrite this equation in such a way that no. of moles is given by,

`n = (PV)/(RT)`

The number of moles of the gas remain fixed, hence, we can write

`(P_1V_1)/(RT_1) = (P_2V_2)/(RT_2)`

⇒ `P_2 = (P_1V_1) (T/(V_2T_1))`

= `((P)(V)(1.1T))/((1.05)V(T))`  .....`[(P_1 = P),(V_2 = 1.05 V and T_2 = 1.1T)]`

= `P xx ((1.1)/(1.05))`

= `P(1.0476) ≈ 1.05 P`

Hence, final pressure P₂ lies between P and 1.1P.