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Chapter 4: Problem 4

The pressure in a vessel is increased by \(12 \%\) to \(130 \mathrm{~N} \mathrm{~m}^{-2}\). Calculate the original pressure.

Short Answer

Expert verified
Answer: The original pressure in the vessel was approximately 116.07 N/m².

Step by step solution

01

Set up the equation

Let x be the original pressure. After increasing the pressure by 12%, the final pressure is 130 N/m². We can write this as: x + 0.12x = 130
02

Combine the terms

Combine the terms with x: 1x + 0.12x = 1.12x So, the equation becomes: 1.12x = 130
03

Solve the equation

To solve for x, divide both sides of the equation by 1.12: x = \frac{130}{1.12}
04

Calculate the value of x

Perform the division to find the value of x: x \approx 116.07
05

State the final answer

The original pressure in the vessel was approximately 116.07 N/m².

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