Answer:
31.59 kpa
Step-by-step explanation:
The variables in this problem are temperature and pressure. Both variables are related by the gay lusaacs law.
Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. This means that as the pressure increases so does the temperature.
From the law, we have;
P1/P2 = T1/T2
From the problem;
P1 = Intial pressure = 30 kpa
P2 = Final pressure = x
T1 = Initial temperature = 10 + 273 = 283K (Upon converting to kelvin temperature)
T2 = Final temperature = 25 + 273 = 298K (Upon converting to kelvin temperature)
Substituting into the equation, we have;
30 / P2 = 283 / 298
Upon cross multiplication, we have;
P2 = (298 * 30 ) / 283
P2 = 31.59 kpa