The Pressure P (In Kilopascals), Volume V (In Liters), and Temperature

question 95

Essay

The pressure P (in kilopascals), volume V (in liters), and temperature T (in degrees Kelvin), of a mole of an ideal gas are related by the equation $P V = 8.31 T$ . Find the rate at which the pressure in a container of gas is changing when the temperature is $300 ^ { \circ } \mathrm { K }$ and increasing at a rate of $0.1 ^ { \circ } \mathrm { K } / \mathrm { s }$ and the volume is 100 liters and increasing at a rate of $0.2 \mathrm {~L} / \mathrm { s }$ .

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Definitions:

ATP

ATP, or adenosine triphosphate, is a high-energy molecule that stores and supplies the cell with needed energy for various biological processes through the transfer of a phosphate group.

Facilitated Diffusion

A method of passive transport, mediated by carrier proteins, that allows molecules to cross the cell membrane without energy input, from higher to lower concentration.

Saline Solutions

Solutions containing a high concentration of salt, primarily sodium chloride, used in various medical and laboratory settings to mimic the osmolarity of bodily fluids.

NaCl

Sodium chloride, commonly known as table salt, an ionic compound that is essential for life in small quantities and used widely as a seasoning and preservative.