Problem

The power $P$ (in $\mathrm{W}$ ) used by a kitche…

Problem 33 Easy Difficulty

The pressure $p$ (in $\mathrm{Pa}$ ) of a gas as a function of its volume $V$ and temperature $T$ is $p=n R T / V$. If $n=3.00$ mol and $R=8.31 \mathrm{J} / \mathrm{mol} \cdot \mathrm{K},$ find $p$ for $T=300 \mathrm{K}$ and $V=50.0 \mathrm{m}^{3}$.

Answer

$150 \mathrm{Pa}$

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Calculus 3

Basic Technical Mathematics with Calculus

Chapter 29

Partial Derivatives and Double Integrals

Section 1

Functions of Two Variables

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Video Transcript

were given two sets of numbers. We want to determine how wild Berries if we have a direct variation and an inverse variation. The formula we're gonna use is why equals are constant. Tom's eggs, the Vote Abi Z we have two sets and if you look at our second set, we have an unknown variable, which is why that's what we're trying to figure out. So we're gonna plug in on numbers from our first set to help us find our constant. So we confined our unknown variable. So let's plug those numbers in. Why equals 231 equals? Okay, which we don't know Tom's ex, which is 300 Nevada Buzzy, which is 20. The first thing we have to do is clear our fraction. To do that, we're going to multiply both sides by 20 20 is going to council out on the right side and on the left side. When we multiply, we're going to get 4620 equals. Okay, Times 300 Now to solve for K, we need to divide both sides by 300 300 on the right councils out, and we would have what we divide a well, equal 15 and fortunes. Now we can plug our constant into our equation to solve for y and use our members from a second set of numbers in the equation. So why we don't know why equals. Okay, We just 15 and four tents, Times X, which is 320 the Vata Bazi, which is 16. So first, let's multiply across the top 15 to 4/10 that times 320. Don't give us why. Equals 4928. Nevada 16. Now, we're gonna actually divide. When we divide by 16. We're going to see that I found out. Answer is going to be. Why equals 308. That is our unknown variable.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Problem

The power $P$ (in $\mathrm{W}$ ) used by a kitche…

Problem 33 Easy Difficulty

The pressure $p$ (in $\mathrm{Pa}$ ) of a gas as a function of its volume $V$ and temperature $T$ is $p=n R T / V$. If $n=3.00$ mol and $R=8.31 \mathrm{J} / \mathrm{mol} \cdot \mathrm{K},$ find $p$ for $T=300 \mathrm{K}$ and $V=50.0 \mathrm{m}^{3}$.

Answer

$150 \mathrm{Pa}$

Related Courses

Basic Technical Mathematics with Calculus

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Discussion

Top Calculus 3 Educators

Lily A.

Catherine R.

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Samuel H.

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Vectors Intro

Vector Basics - Example 1

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Watch More Solved Questions in Chapter 29

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Lily A.

Catherine R.

Caleb E.

Samuel H.

Vectors Intro

Vector Basics - Example 1

$150 \mathrm{Pa}$

Basic Technical Mathematics with Calculus

Lily A.

Catherine R.

Caleb E.

Samuel H.

Vectors Intro

Vector Basics - Example 1

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Lily A.

Catherine R.

Caleb E.

Samuel H.

Vectors Intro

Vector Basics - Example 1

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus