A tissue sample at 275 K is submerged in 2 kg of liquid nitrogen at 70 K for cryopreservation. The final temperature of the nitrogen is 75 K. What is the heat capacity of the sample in J/K? (Note: Assume no heat is lost to the surrounding air.) A.0.05 J/K

Answer :

Answer:

The heat capacity of a sample is 37.7 J/K.

Explanation:

Given that,

Submerged temperature of tissue sample = 275 K

Mass of liquid nitrogen= 2 kg

Temperature = 70 K

Final temperature = 75 K

We need to calculate the heat

Using formula of heat

[tex]Q=mc(T_{f}-T_{i})[/tex]

Put the value into the formula

[tex]Q=2\times1.039\times10^{3}\times(75-70)[/tex]

[tex]Q=10390\ J[/tex]

We need to calculate the heat capacity of a sample

Using formula of heat capacity

[tex]\Delta S=\dfrac{Q}{T}[/tex]

Put the value into the formula

[tex]\Delta S=\dfrac{10390}{275}[/tex]

[tex]\Delta S=37.7\ J/K[/tex]

Hence, The heat capacity of a sample is 37.7 J/K.

lublana

Answer:

37.8 J/k

Explanation:

Temperature =T=275 K

Mass of liquid nitrogen=2 kg

Initial temperature=[tex]T_1=70 K[/tex]

Final temperature=[tex]T_2=75 K[/tex]

We have to find the heat capacity of the sample in J/K.

Specific heat of liquid nitrogen=[tex]c=1.039\times 10^3 J/kg\cdot K[/tex]

We know that

[tex]Q=mc\Delta T=2\times 1.039\times 10^3\times (75-70)[/tex]

[tex]Q=10390 J[/tex]

[tex]S=\frac{Q}{T}[/tex]

Using the formula

[tex]S=\frac{10390}{275}=37.8 J/K[/tex]

Hence, the heat capacity of sample=37.8 J/k

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