Answer:
The volume of the gas under these circumstances is 30 cm³.
Explanation:
To determine the variation equation for this situation, we start with the formula V = Tk/P
where k is the constant of variation.
To solve for k, we use the initial values of V, T, and P
V = 42 cm³, T = 84 °C, P = 50 mmHg
Substituting these values into the formula, we get
42 = 84k/50
Solving for k, we have
k = (42 x 50)/84 = 25
Therefore, the variation equation for this situation is
V = 25T/P
To find the volume of gas when T = 48 °C and P = 40 mmHg, we substitute these values into the variation equation
V = 25 x 48/40 = 30 cm³
Therefore, the volume of the gas under these circumstances is 30 cm³.