1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
velikii [3]
3 years ago
10

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the eq

uation PV = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm3, the pressure is 100 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

The value of rate of decrease of volume = - 3600 \frac{k pa}{min}

Step-by-step explanation:

According to Boyle's law P V = C ------- (1)

Pressure ( P ) = 100 k pa = 10 \frac{N}{cm^{2} }

Volume ( V ) = 900 cm^{3}

Put these values in equation ( 1 ) we get,

⇒ C = 10 × 900 = 9000 N-cm = 90 N-m

Differentiate Equation ( 1 ) with respect to time we get,

⇒ V \frac{dP}{dt} + P \frac{dV}{dt} = 0

⇒ V \frac{dP}{dt} = - P \frac{dV}{dt}

⇒ \frac{dV}{dt} = - \frac{V}{P} \frac{dP}{dt} ---------- (2)

This equation gives the rate of decrease of volume.

Given that Rate of increase of pressure = \frac{dP}{dt} = 40 \frac{k pa}{min}

C = 90 N-m

P =  10^{5} pa = 10 \frac{N}{cm^{2} }

V = 900 cm^{3}

Put all the above values in equation 2 we get,

⇒  \frac{dV}{dt} = - \frac{900}{10} × 40

⇒  \frac{dV}{dt} = - 3600 \frac{k pa}{min}

This is the value of rate of decrease of volume.

You might be interested in
How do I solve 6 x 107 using a property
Anastasy [175]
Use distributivity to split the multiplication
6*107
=6(100+7)
=600+42
=642
4 0
3 years ago
. A pack of baseball cards has 12 trading cards and 2 stickers. In a
erik [133]
Answer:
432 cards and 72 stickers
Explanation:
1 pack=12 cards + 2 stickers
So if we want 36 packs..
36 packs=433 cards + 72 stickers
We times everything by 36!
3 0
3 years ago
A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the poi
liubo4ka [24]

Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

<u>To find the probability</u>

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%

 

8 0
3 years ago
can you guys help me with letter c? (don’t be like oooooh this is SOOO easy because i’m just in 6th grade.) please and thank you
Alexxandr [17]
6 weeks
1150-370=780
780 divided by 130=6
8 0
3 years ago
Read 2 more answers
What is the value of -2(x + 5)?
Nataly_w [17]

Answer:

5)

1

 

Expand by distributing terms.

-2x-2\times 5−2x−2×5

2

 

Simplify  2\times 52×5  to  1010.

-2x-10−2x−10

3 0
3 years ago
Other questions:
  • Which expression is equivalent to 5.4−1.8 ? A. −1.8+5.4 B.−1.8−5.4 C. 1.8 + 5.4 D.1.8−5.4
    13·2 answers
  • Please look at the attached picture.
    10·2 answers
  • 710 points; 10% decrease
    10·2 answers
  • Patricia has $425.82 in her checking account. How much does she have in her account after she makes a deposit of $120.75 and a w
    11·2 answers
  • Use the quadratic formula to find both solutions to the quadratic equation
    15·1 answer
  • 1 1/2 x 1/2 = ?<br> help me por favor &lt;3
    13·1 answer
  • A group of friends wants to go to the amusement park. They have
    7·1 answer
  • A cube has a volume of 125 cubic inches. What is the length of each edge? Enter your answer in the box. _____in​
    14·1 answer
  • If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x)​
    12·1 answer
  • If I got 29 muffins and 41 people how many more do I need?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!