4) For an ideal gas, the pressure is related to temperature and volume by the formula 8.317 P = If your container currently has a volume of 12 cm³ at a temperature of 300 K, approximate the change in pressure using differentials if the volume increases by 0.3 cm³ and the temperature decreases by 5 K.

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: A spring is stretched a distance x from its original length. The potential energy stored in the…

A: Given  A spring is stretched a distance x from its original length Potential energy stored in the…

Q: The pressure, volume and temperature of a mole of ideal gas are related to the equation PV = 8.3T,…

A:

Q: A balloon leaks air (changes in volume) at a rate of one-third the volume per minute. Write an…

A: Given : A balloon leaks air (changes in volume) at a rate of one-third the volume per minute.

Q: The tank shown in the figure was filled with 100 liters of substance A in a concentration of 10g /…

A: Given: The tank having 100 liters of substance A in a concentration of 10g / L. Material A is fed…

Q: According to Boyle's law the volume, V m³, of a fixed mass of gas is inversely proportional to the…

A:

Q: sistance R (ohms) and the current I (amperes) by the equation P = R1². se differentials to determine…

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Sandy's main house is a hemispherical glass dome with diameter of 8m. Suppose that the glass is m…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

Q: Find the wind chill for an air temperature of 10 degrees celsius and a wind speed of 8m/sec W=

A: The wind chill factor on a certain planet is given by,…

Q: A water tank has 142 gallons of water, At first, in t=0, a solution with 1/6 lb/gal of a chemical…

A: it is mixing problem we use linear differential equation to solve this question.

Q: If the temperature is constant, then the atmospheric pressure p (in pounds/square inch) varies with…

A: Given equation is p=p0e-khwhere p0 is the atmospheric pressure at sea levelwhile p is the pressure…

Q: When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the…

A: according to given data P1V1=P2V2                                                 ..1 so, by using…

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.