For a gas isotherm of d / p(y -axis) versus. pressure (P) ( x -axis) passes through the points (4,2.5) and (10,5.5) . The molar mass of gas is (T=300 K , density d in g / L and P in atm )

Question

For a gas isotherm of d / p(y -axis) versus. pressure (P) ( x -axis) passes through the points (4,2.5) and (10,5.5) . The molar mass of gas is (T=300 K , density d in g / L and P in atm ) (A) 12.3 g/mol (B) 24.6 g/mol (C) 6.1 g/mol (D) cannot predict as gas may be real

Tardigrade Admin · Accepted Answer

Let d/P = A(P) + B Passes through (4, 2.5) and (10, 5.5). As y=m x+c 2.5=4 A+B 5.5=10 A+B A=B=0.5 ⇒ ((d/P))P arrow 0=B=0.5 As gas is real, M=((d/P))P arrow 0 R T =0.5 × 0.082 × 300=12.3 g / mol

Q. For a gas isotherm of $d / p (y$ -axis) versus. pressure $(P)$ ( $x$ -axis) passes through the points (4,2.5) and (10,5.5) . The molar mass of gas is $(T = 300 K,$ density $d$ in $g / L$ and $P$ in atm $)$

12.3 g/mol

24.6 g/mol

6.1 g/mol

cannot predict as gas may be real

Let d/P = A(P) + B

Passes through (4, 2.5) and (10, 5.5).

As $y = m x + c$

$2.5 = 4 A + B$

$5.5 = 10 A + B$

$A = B = 0.5$

$\Rightarrow (\frac{d}{P})_{P \to 0} = B = 0.5$

As gas is real, $M = (\frac{d}{P})_{P \to 0} RT$

$= 0.5 \times 0.082 \times 300 = 12.3 g / m o l$

Q. For a gas isotherm of d/p(y -axis) versus. pressure (P) ( x -axis) passes through the points (4,2.5) and (10,5.5) . The molar mass of gas is (T=300K, density d in g/L and P in atm )