Question

# A cylinder of volume 0.290 m3 contains 11.9 mol of neon gas at 17.3°C. Assume neon...

A cylinder of volume 0.290 m3 contains 11.9 mol of neon gas at 17.3°C. Assume neon behaves as an ideal gas.

(a) What is the pressure of the gas?
Pa

(b) Find the internal energy of the gas.
J

(c) Suppose the gas expands at constant pressure to a volume of 1.000 m3. How much work is done on the gas?
J

(d) What is the temperature of the gas at the new volume?
K

(e) Find the internal energy of the gas when its volume is 1.000 m3.
J

(f) Compute the change in the internal energy during the expansion.
J

(g) Compute ΔUW.
J

(h) Must thermal energy be transferred to the gas during the constant pressure expansion or be taken away?

(i) Compute Q, the thermal energy transfer.
J

(j) What symbolic relationship between Q, ΔU, and W is suggested by the values obtained?

given
V1 = 0.290 m^3
n = 11.9 mol
T1 = 17.3 C
= 17.3 + 273

= 290.3 K

a) use, P*V = n*R*T

P = n*R*T/V

= 11.9*8.314*290.3/0.29

= 9.90*10^4 pa

b) Ui = (3/2)*n*R*T

= (3/2)*11.9*8.314*290.3

= 4.308*10^4 J

c) W = P*(V2 - V1)

= 9.90*10^4*(1 - 0.29)

= 7.03*10^4 J

d) at constant pressure, V2/T2 = V1/T1

T2 = (V2/V1)*T1

= (1/0.29)*290.3

= 1001 K

e) Uf = (3/2)*n*R*T2

= (3/2)*11.9*8.314*1001

= 1.486*10^5 J

f) delta_U = (3/2)*n*R*(T2 - T1)

= (3/2)*11.9*8.314*(1001 - 290.3)

= 1.05*10^5 J

g) delta_U - W = 1.05*10^5 - 7.03*10^4

= 3.47*10^4 J

h) Heat energy must be transfred to the gas

i) Q = W + delta_U

= 7.03*10^4 + 1.05*10^5

= 1.75*10^5 J

j) Q = delta_U + W

#### Earn Coins

Coins can be redeemed for fabulous gifts.