Q.

What amount of heat is needed to raise the temperature of 2×10-2 kg of nitrogen at room temperature to raise it’s temperature by 45° C at constant pressure?(given molecular mass=28 and  R=8.3 J mol-1 K-1;  Cp=7R/2)

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a

9.33 cal

b

93.3 J

c

933.7 J

d

933.3 cal

answer is C.

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Detailed Solution

number of molesn=mM=2028=0.174where m is mass of gas in gram=0.02kg=0.02x1000g=20gM is molecular weight of gas  molar specific heat of gas at constant pressure is Cp  Cp=7R/2=72×8.3 J mole-1 K−1  amount of heat required to raise temperature of gas at constant pressure is Q  Q=nCp×ΔT  here ΔT is raise in temperature  substitute the values of n,Cp,ΔT  Q=0.714×72×8.3 ×45 J ⇒Q=933.75J
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What amount of heat is needed to raise the temperature of 2×10-2 kg of nitrogen at room temperature to raise it’s temperature by 45° C at constant pressure?(given molecular mass=28 and  R=8.3 J mol-1 K-1;  Cp=7R/2)