2 moles of an ideal monoatomic gas initially at 25°C
and 2 atm are heated at constant pressure to a
temperature of 100°C. Calculate AH.
5R
Given Cp = (R = 2Cal):
2
А. -750 Cal
B. 750 Cal
C. 0
D. 375 Cal
Answers
Answer:
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The amount of ΔH is 750 cal.
The amount of the gas (n) = 2 mole
Initial temperature = 25° C
= (25 + 273) K
= 298 K
Final temperature = 100° C
= (100+ 273) K
= 373 K
∴ Difference in temperature (dT) = (373 - 298) K
= 75 K
We know, for a constant pressure,
According to the law of first rule of thermodynamics,
U = Q + W
where, U = Internal energy
Q = Enthalpy = H
W = Work done by gas
∴ H = U - W
⇒ H = nCp dT + n R dT [by putting values with sign]
⇒ H = n dT (Cp + R)
⇒ H = 2× 75 × 5 [As given in the question]
⇒ H = 150 × 5
⇒ H = 750 cal
The amount of H is 750 cal.