Question

6 numeric 1 point solve for the unknown variable: p₁ = ?? v₁ = 750 ml t₁ = 0°c p₂ = 2.0 atm v₂ = 500 ml t₂ = 25°c round to 3 sig figs. do not include units. answer

Explanation:

Step1: Convert temperatures to Kelvin

$$T_1 = 0 + 273 = 273\ K$$
$$T_2 = 25 + 273 = 298\ K$$

Step2: Use the combined gas law $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

Rearrange for $P_1$: $P_1=\frac{P_2V_2T_1}{V_1T_2}$

Step3: Substitute values

$$P_1=\frac{2.0\times500\times273}{750\times298}$$
$$P_1=\frac{273000}{223500}$$
$$P_1\approx1.22$$

Answer:

1.22