Question

Equation of a gas in terms of pressure (P), absolute temperature, (T) and density (rf) is:

• A. $\frac{P_1}{T_1{d}_1}=\frac{P_2}{T_2{d}_2}$
• B. $\frac{P_1{T}_1}{d_1}=\frac{P_2{d}_1}{d_2}$
• C. $\frac{P_1{d}_2}{T_2}=\frac{P_2{d}_1}{T_1}$
• D. $\frac{P_1{d}_1}{T_1}=\frac{P_1{d}_2}{T_2}$

Answer 1

Answer: (A)

Gas equation is $\frac{PV}{T}=cons\tan t=R$ or $\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$ If m is the mass of a gas and $d_1$ and $d_2$ are its density at absolute temperature $T_{1}K$ and $T_{2}K,$ then $V_1=m/d_1$ and $V_2=m/d_2$ $\therefore$ $\frac{P_1}{T_1}\left(\frac{m}{d_1}\right)=\frac{P_2}{T_2}\left(\frac{m}{d_2}\right)$ $\frac{P_1}{T_1{d}_1}=\frac{P_2}{T_2{d}_2}$