To find the new volume of the gas after it is heated, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure and amount of gas remain constant.
The equation for Charles's Law is:
V1/T1 = V2/T2
Given:
V1 = 1.70 L (initial volume)
T1 = 29.78 °C (initial temperature)
T2 = 75.06 °C (final temperature)
Let's substitute the values into the equation and solve for V2 (new volume):
V1/T1 = V2/T2
V2 = (V1 * T2) / T1
V2 = (1.70 * 75.06) / 29.78
V2 ≈ 4.30 L
Therefore, the new volume of the gas, when heated to 75.06 °C, is approximately 4.30 L.