Question

If the volume of a gas collected at 60 ᵒC and 1 x 10⁵ Pa pressure was 70 cm³, what would be the volume at a temperature of 0 ᵒC and a pressure of 4 x 10⁵ Pa? Show all working and don't forget the units on your final answer.

Answer 1

Answer:

14.3 cm³ or 14.3×10⁻³ L

Explanation:

According to standard gas equation,

P₁V₁/T₁ = P₂V₂/T₂

Convert degree Celcius to Kelvin scale.

Kelvin= °C+273

60°C:

=60+273

=333 K

0°C:

=0+273

=273 K

And also, convert cm³ to Litres.

1cm³ = 10⁻3 L

70cm³ = 70 * 10⁻³ L

Now, put these values in the Standard gas equation.

1 x 10⁵ × 70 × 10⁻³/333 = 4 x 10⁵ × V₂/273

V₂ = 1 x 10⁵ × 70 × 10⁻³ × 273 / 333 × 4 x 10⁵

V₂ = 14.3 × 10⁻³ L

or, 14.3 cm³