To find the new pressure, we can use the combined gas law, which relates the initial and final conditions of temperature, pressure, and volume. The combined gas law equation is as follows:
(P₁ × V₁) / T₁ = (P₂ × V₂) / T₂
Where: P₁ = Initial pressure (mmHg) V₁ = Initial volume (cubic centimeters) T₁ = Initial temperature (in Kelvin) - convert from Celsius by adding 273.15 P₂ = Final pressure (unknown) V₂ = Final volume (cubic centimeters) T₂ = Final temperature (in Kelvin) - convert from Celsius by adding 273.15
Given: V₁ = 50 cubic centimeters V₂ = 250 cubic centimeters T₁ = 0°C + 273.15 = 273.15 K T₂ = 0°C + 273.15 = 273.15 K
Substituting the given values into the equation, we have:
(P₁ × 50) / 273.15 = (P₂ × 250) / 273.15
Simplifying the equation:
50P₁ = 250P₂
Now, we need to solve for P₂. Divide both sides of the equation by 250:
P₁ / 5 = P₂
Therefore, the new pressure (P₂) is equal to one-fifth of the initial pressure (P₁).
To find the value of P₂, we need to know the initial pressure (P₁) at 0°C and mmHg. Please provide the value of P₁ to proceed with the calculation.