Chemistry, 20.07.2019 13:30 royalty67

3l of nitrogen gas is heated from 20°c to 80°c. what is the new volume of the gas, if pressure remains constant?

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The volume increases to 3.61 L.

Solution:
According to Charle's Law, " At constant pressure and mass the volume of gas is directly proportional to the applied temperature".

For initial and final states of a gas the equation is,

V₁ / T₁ = V₂ / T₂
Solving for V₂,
V₂ = V₁ T₂ / T₁ (1)

Data Given;
V₁ = 3 L

T₁ = 20 °C + 273 = 293 K

T₂ = 80 °C + 273 = 353 K

Putting values in eq. 1,

V₂ = (3 L × 353 K) ÷ 293 K

V₂ = 3.61 L

Answer from: Quest

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Answer from: Quest

answer : (a) volume of the gas = 8.67 × $10^{-3}$ l

(b) second virial coefficient b = -1.21226 l/mole

solution : given, t = 300k

p = 20atm

z = 0.86

n = 8.2 mmoles = 8.2 × $10^{-3}$ moles

r = 0.082 l atm/k/mol

find, (a) volume of gas and (b) second virial coefficient b at 300k.

formula used : $z=\frac{pv}{nrt}$

and $z=1+\frac{b}{v}$

(a) $z=\frac{pv}{nrt}$

$v=\frac{znrt}{p}$

= $\frac{0.86\times 8.2\times[tex]10^{-3}$ \times 0.082\times 300}{20}[/tex]

= 8.67 × $10^{-3}$ l

(b) $z=1+\frac{b}{v}$

$b=(z-1)v$

= (0.00867-1) × 8.659

= - 8.5839 l/mole

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3l of nitrogen gas is heated from 20°c to 80°c. what is the new volume of the gas, if pressure remai...

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