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  • Which of the following statements ore correct? (a) The molar mass of a gat may be calculated through the expression <img alt="\mathrm{ M=\left(\frac{d}{p}\right) R T}" src="https://entr

Which of the following statements ore correct?
(a) The molar mass of a gat may be calculated through the expression \mathrm{ M=\left(\frac{d}{p}\right) R T}.
(b) The value of \mathrm{ \frac{d}{p}},of an ideal g as at a constant temperature is independent of the pressure of the g as.
(c) The Avogadro constant has a value of  6.626 \times 10^{26} \mathrm{~mol}^{-1}.
(d) The volume of a fixed mass of gas at constant pressure varies nonlinearly with temper atone expressed in celsius whereas it varies when expressed in kelvin.
 

Option: 1

a and b only
 


Option: 2

a and c only


Option: 3

c and d only

 


Option: 4

a and d only


Answers (1)

best_answer

(a) Assuming gas to be ideal, we have
\begin{aligned} & \mathrm{p V=n R T=\left(\frac{m}{M}\right) R T }\\ & \mathrm{\quad \text { on, }\left(\frac{M}{V}\right) \frac{R T}{p}=\left(\frac{d}{p}\right) R T=M }\end{aligned}

(b) Since,\mathrm{ M=\left(\frac{d}{p}\right) R T} or,  \mathrm{\left(\frac{d}{P}\right)=\frac{M}{R T}}, the term \mathrm{\frac{d}{P}} is independent of p at constant T.

(c) The value of Avogadro's constant in \mathrm{6.022 \times 10^{23} \mathrm{mo}^{-1}}.

(d) The relevant expressions are \mathrm{V_t=a t+b} and \mathrm{V_T=k T}

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Rishabh

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