Answer: 1.7L
Step-by-step explanation:
Original volume of nitrogen gas (V1) = 3.4L
Original temperature of nitrogen gas (T1) = 400K
New volume of nitrogen gas (V2) = ?
New temperature of nitrogen gas (T2) = 200K
Since volume and temperature are given while pressure is held constant, apply the formula for Charle's law
V1/T1 = V2/T2
3.4L/400K = V2/200K
To get the value of V2, cross multiply
3.4L x 200K = 400K x V2
680L•K = 400K•V2
Divide both sides by 400K
680L•K /400K = 400K•V2/400K
1.7L = V2
Thus, the final volume of the nitrogen gas is 1.7 liters