Which object has the least thermal energy?
OA. 5 kg of oxygen gas at 30°C
OB. 5 kg of liquid oxygen at -225°C
OC. 2 kg of oxygen gas at 20°C
OD. 2 kg of liquid oxygen at -225°C



Answer :

OD. 2kg of liquid oxygen at -225 *C has the least thermal energy.

The thermal energy for a phase of matter is given by the formula

Q = mCΔT where

m = mass

C = Specific heat constant

T = Temperature

For Oxygen, the Specific heat constant = 0.92 J/gK

Let's calculate the thermal energy for each case, assuming that the initial temperature is 0 Kelvin

OA.

m= 5000 g

ΔT = 303 K

So Q =5000×0.92×303 = 1393800 J = 1393.8 KJ

OB.

m= 5000 g

ΔT = 48 K

So Q =5000×0.92×48 = 220800 J = 220.8 KJ

OC.

m= 2000 g

ΔT = 293 K

So Q =2000×0.92×293 = 539120 J = 539.12 KJ

OD.

m= 2000 g

ΔT = 48 K

So Q =2000×0.92×48 = 88320 J = 88.32 KJ

Therefore, OD 2kg of liquid oxygen at -225 *C has the least thermal energy which is 88.32 KJ.

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