Moderate 761 likes

Question

A certain amount of gas occupies 750 cc at – 3°C. The gas is heated at constant pressure till its volume becomes 1 litre. What is its final temperature?

OR

What will be the volume of 8 g of H2 gas (H=1)at a pressure of 4 atmospheres and a temperature of 27℃? [R=0.082 litre atmosphere moleK].

WBBSE Class X Physical Science Behaviour of Gases 02 Mark 2024

Answer

Given

  • V1 = 750 cc (initial volume)
  • T1 = -3°C = 270 K (initial temperature in Kelvin)
  • V2 = 1 litre = 1000 cc (final volume)
  • T2 is the final temperature in Kelvin.

Using the formula:

750\over270 = 1000\over\text{T}_2

or, T2 = (1000 × 270) \over 750

T2 = 360 K

Converting T2 back to Celsius:

T2 = 360 K – 273 = 87°C

So, the final temperature is 87°C.

OR

Given

  • Pressure (P) = 4 atm
  • Volume = V (what we need to find)
  • number of moles = n
  • R = 0.082 L·atm·mol⁻¹·K⁻¹
  • Temperature (T) = 27°C + 273 = 300 K

Number of moles (n) = 8\over2 = 4 mol

PV = nRT

or, 4 × V = 4 × 0.082 × 300

or, V = 4 × 0.082 × 300\over 4 = 24.6 L

So, the volume of 8 g of H₂ gas is 24.6 liters.

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