According to the equation of state p = ρRT,if pressure remained constant and the temperature increased
A)the density would have to remain constant
B)the density would have to increase
C)the density would have to decrease
D)the constant R would have to change

Question

According to the equation of state p =  ρRT,if pressure remained constant and the temperature increased
A)the density would have to remain constant
B)the density would have to increase
C)the density would have to decrease
D)the constant R would have to change

Quizplus · Accepted Answer

According to the ideal gas law (p = ρRT), an increase in temperature with constant pressure would result in a decrease in density. This is because, with higher temperature, the molecules in the gas would have greater kinetic energy and move faster, leading to a decrease in their density. Thus, density would have to decrease in order to maintain a constant pressure. Choice A is incorrect because the density cannot remain constant if the temperature increases with constant pressure. Choice B is incorrect as an increase in temperature would cause a decrease in density, not an increase. Choice D is incorrect as R, the gas constant, is a constant value and cannot change.

According to the Equation of State P = ρRT,if