# The equation given that the statement.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 7P

(a)

To determine

## To find: The equation given that the statement.

Expert Solution

The equation is P=kTV .

### Explanation of Solution

Given:

P is inversely proportional to T .

Concept used:

If the quantities x and y are related by an equation :

y=kx

For some constant k0 .

That is y varies inversely as x or y is inversely proportional to x .

The constant k is called constant proportionality .

Calculation:

If the quantities P and T are related by an equation :

PαT

Pα1VPαTVP=kTV

For some constant k0 .

That is P varies inversely T or P is inversely proportional to T .

The constant k is called constant proportionality .

(b)

To determine

### To find: The equation given that the statement.

Expert Solution

The equation is k=8.3kPaL/k .

### Explanation of Solution

Given:

P is inversely proportional to T .

Concept used:

If the quantities x and y are related by an equation:

y=kx

For some constant k0 .

That is y varies inversely as x or y is inversely proportional to x .

The constant k is called constant proportionality .

Calculation:

If the quantities P and T are related by an equation :

PαT

Pα1VPαTVP=kTVV=100L,P=33.2kPa,T=400K33.2=k(400)100k=8.3kPaL/k

For some constant k0 .

That is P varies inversely T or P is inversely proportional to T .

The constant k is called constant proportionality .

(c)

To determine

### To find: The equation given that the statement.

Expert Solution

The equation is P=51.875kpa .

### Explanation of Solution

Given:

P is inversely proportional to T .

Concept used:

If the quantities x and y are related by an equation :

y=kx

For some constant k0 .

That is y varies inversely as x or y is inversely proportional to x .

The constant k is called constant proportionality .

Calculation:

If the quantities P and T are related by an equation :

PαT

Pα1VPαTVP=kTVV=80L,T=500KP=8.3×50080P=51.875kpa

For some constant k0 .

That is P varies inversely T or P is inversely proportional to T .

The constant k is called constant proportionality .

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