Question

Which of the following relationships between partial pressure, volume and temperature is correct?
(i) $P=\frac{nRT}{V}$
(ii) $P_{total}=p_1+p_2+p_3$
(iii) $P_{total}=(n_1+n_2+n_3)\frac{RT}{V}$.

• A. (i) and (ii)
• B. (i) and (iii)
• C. (ii) and (iii)
• D. (i), (ii) and (iii)

Answer 1

The correct option is D (i), (ii) and (iii)

$i.$ Ideal gas equation $⟹PV=nRT⟹P=\frac{nRT}{V}$

$ii.$ Dalton's law of partial pressure, $⟹P_{total}=P_1+P_2+P_3$

$iii.$ Partial pressure , $P_1,P_2,P_3\dots P_K$

According to ideal gas equation, $P=\frac{nRT}{V}⟹P_1=n_1\left(\frac{RT}{V}\right)$

$P_{total}=(n_1+n_2+n_3)\left(\frac{RT}{V}\right)$