Answer:
heat capacity of the sample = 37.8 J/K
Step-by-step explanation:
Step 1: Data given
Temperature of the sample = 275 K
The mass of liquid nitrogen = 2kg
temperature of liquid nitrogen = 70 K
The final temperature of the nitrogen is 75 K
Step 2: Calculate heat
Q = m*c*ΔT
⇒with m = the mass of liquid nitrogen = 2 kg = 2000 grams
⇒with c= the specific heat of the liquid nitrogen = 1.04 J/g*K
⇒with ΔT = the change of temperature of liquid nitrogen = T2 - T1 = 75 - 70 = 5K
Q = 2000 grams * 1.04 J/g*K * 5K
Q = 10400 J
Step 3: Calculate the heat capacity of the sample
heat capacity of the sample = 10400 J / 275 K
heat capacity of the sample = 37.8 J/K