When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the can. This decrease of pressure causes the volume of the gas in the can to increase. Because the gas needs more room than is provided in the can, it expands in spray form through the small hole near the valve. In general, if the temperature is constant, the pressure, P, of a gas in a container varies inversely as the volume, V, of the container. The pressure of a gas sample in a container whose volume is 8 cubic inches is 12 pounds per square inch. If the sample expands to a volume of 22 cubic inches, what is the new pressure of the gas?

Q: The volume of a right circular cylinder varies jointly as the height and the square of radius of the…

A: Given that:  Volume(V)=58096.28 cubic yards,r=29yards,h=22yardsand the right circular cylinder. A…

Q: The distance traveled by a bus varies directly with the weather. The bus traveled 240 km in 3 hours.…

A:

Q: dV2 dV1 = a dt dt

A:

Q: An ice cream cone company wants to adjust the existing dimensions of their cones, but maintain the…

A: Given,An ice cream cone company wants to adjust the existing dimensions of their cones but maintain…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure,…

A: Write the proportional equation for volume and then write both cases and eliminate the answer.

Q: combined

A:

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: Assume that r varies directly as P. what is the constant of proportionality if R equals three when P…

A: Given r varies directly as p . we find the constantof proportionality if r ⊂ 3 and p=15

Q: The mass of a spherical solid is inversely proportional as its density and the cube of its…

A:

Q: The volume (v) of a sphere varies directly with the cube of its radius (r). If k is the constant of…

A:

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Given, the initial temperature (T1)=310o k initial Pressure (P1)=18  atm Initial volume V1 = 120 lit…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.