Question

3 moles of an ideal gas is compressed from 50 dm³ to 30 dm³ against a constant external pressure of 3.039 × 10⁵ N m⁻². The work done in calories is ____________.
(1 J = 0.239 cal)

विकल्प

• +30.39 cal

• +72.63 cal

• +1452.6 cal

• +2905.2 cal

Answer 1

3 moles of an ideal gas is compressed from 50 dm³ to 30 dm³ against a constant external pressure of 3.039 × 10⁵ N m⁻². The work done in calories is +1452.6 cal.

Explanation:

W = P_ext.ΔV (as work is done on the system)

= (3.039 × 10⁵ N m⁻²) (50 − 30) dm³

= 3.039 × 10⁵ N m⁻² × 20 × 10⁻³ m³

= 6078 N m

= 6078 J

= (6078 × 0.239) cal

= +1452.6 cal