Question

the density of a gas of a gas is 1 gm per litre at STP. at 6atm pressure and 546 degree Celsius, the density of the same gas is​

Answer 1

Answer:

2 gm/lit

Explanation:

From Ideal Gas Equation,

PV = nRT

=> P = (n/V)RT

=> P ∝ (n/V), T

=> P₁/P₂ = n₁/n₂ ×V₂/V₁ × T₁/T₂

=> P₁/P₂ = M₁/M₂ ×V₂/V₁ × T₁/T₂    (Because n₁/n₂ = M₁/M₂)

=> P₁/P₂ = d₁/d₂ × T₁/T₂     ---------(1)     (Because M/V = d  i.e M₁/V₁ = d₁)

Now the given data is that

d₁ = 1 gm/lit              P₁ = 1 atm             T₁ = 273 k

d₂ = ?                       P₂ = 6 atm            T₂ = 546 C = 546 + 273 = 819 k

Now substitute these values in equation (1)

=> 1/6 = 1/d₂ × 273/819

=> 1/6 × d₂ = 1/3

=> d₂ = 1/3 × 6

=> d₂ = 2 gm/lit

So, the density of the gas at 6atm pressure and 546 degree Celsius is 2 gm/lit