A balloon holding 4.50 moles of nitrogen (N2) gas absorbs 895 J of thermal energy while doing 127 J of work expanding to a larger volume.?

Question

A balloon holding 4.50 moles of nitrogen (N2) gas absorbs 895 J of thermal energy while doing 127 J of work expanding to a larger volume.

(a) Find the change in the balloon's internal energy (in J).

(b) Calculate the change in temperature of the gas (in K).

jacob s · Accepted Answer

given

n = 4.50 moles

Q = 895 J

W = 127 J

a) dU = ?

use first law of thermodynamics,

Q = dU + W

==> dU = Q - W

= 895 - 127

= 768 J <<<<<<<<<<<<<------------Answer

b) for diatomic gas,

dU = (5/2)*n*R*dT

==>T = (2/5)*dU/(n*R)

= (2/5)*768/(3*8.314)

= 12.3 K <<<<<<<<<<<<<------------Answer

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A balloon holding 4.50 moles of nitrogen (N2) gas absorbs 895 J of thermal energy while doing 127 J of work expanding to a larger volume.?

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