Difference between revisions of "009A Sample Final 3, Problem 8"
Kayla Murray (talk | contribs) |
Kayla Murray (talk | contribs) |
||
| Line 1: | Line 1: | ||
| − | <span class="exam">Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure <math>P</math> and volume <math>V</math> satisfy the equation <math>PV=C</math> where <math>C</math> is a constant. Suppose that at a certain instant, the volume is <math>600 \text{ cm}^3,</math> the pressure is <math>150 \text{ kPa},</math> and the pressure is increasing at a rate of <math>20 \text{ kPa/min}.</math> At what rate is the volume decreasing at this instant? | + | <span class="exam">Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure <math style="vertical-align: 0px">P</math> and volume <math style="vertical-align: 0px">V</math> satisfy the equation <math style="vertical-align: 0px">PV=C</math> where <math style="vertical-align: 0px">C</math> is a constant. Suppose that at a certain instant, the volume is <math style="vertical-align: -4px">600 \text{ cm}^3,</math> the pressure is <math style="vertical-align: -4px">150 \text{ kPa},</math> and the pressure is increasing at a rate of <math style="vertical-align: -4px">20 \text{ kPa/min}.</math> At what rate is the volume decreasing at this instant? |
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 13:36, 6 March 2017
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P} and volume Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V} satisfy the equation Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PV=C} where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C} is a constant. Suppose that at a certain instant, the volume is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 600 \text{ cm}^3,} the pressure is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 150 \text{ kPa},} and the pressure is increasing at a rate of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 20 \text{ kPa/min}.} At what rate is the volume decreasing at this instant?
| Foundations: |
|---|
Solution:
(a)
| Step 1: |
|---|
| Step 2: |
|---|
(b)
| Step 1: |
|---|
| Step 2: |
|---|
(c)
| Step 1: |
|---|
| Step 2: |
|---|
| Final Answer: |
|---|
| (a) |
| (b) |
| (c) |