The pressure, volume, and temperature of a mole of an ideal gas are related by the equation pv = 8.31t, where p is measured in kilopascals, v in liters, and t in kelvins. use differentials to find the approximate change in the pressure if the volume increases from 10 l to 10.6 l and the temperature decreases from 345 k to 335 k. (note whether the change is positive or negative in your answer. round your answer to two decimal places.)

25.26 kPa

Step-by-step explanation:

Given

PV=8.31T

dV=10.6-10=0.6 L

dT=335-345=-10 K

P=282.54 kPa

PV=8.31 T

differentiate

d(PV)=8.31 dT

PdV+VdP=8.31dT

dP=25.26 kPa

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!