Question

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⊙ A 1000 ml sample of gas at -73℃(200k) and 2 atm is heated to 123℃ and the pressure is reduced to 0.5 atmosphere. What will be the final volume????

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@Prabhu dutt............

Answer 1

Assuming the gas is Ideal.
Final Answer : 8L = 8000mL

Steps and Understanding:
1) Given,
Initial Pressure, P(i) = 2atm
Initial Volume, V(i) = 1000mL = 1L
Initial Temperature, T(i) = 200K
Final Temperature, T(f) = 400K
Final Pressure, P(f) =0.5atm
Final Volume, V(f) = ?

2)We know that,

P(i) V(i) /T(i)= P(f) V(f)/T(f)

=> 2 * 1 L/200 = 0.5 V(f)/400
=> V(f) = 8L

Therefore, Final Volume of Gas is 8L