Ask question

Ask question

All categories

3 years ago

10

`i have a sealed cylinder sitting in my lab that contains 1,000.0 ml of gas. if i compress the cylinder and change the volume to

500.0 ml, keeping the temperature constant, what will i expect to see happen to the pressure?

1 answer:

marin [14]3 years ago

7 0

Because the temperature remains constant, we can apply Boyle's Law which states that
pV = constant
where
p = pressure
V = volume

Define the two states of the gas.

State 1
Pressure = p₁
Volume = 1000 ml

State 2
Pressure = p₂
Volume = 500 ml

Apply Boyle's law.
1000p₁ = 500p₂
2 = p₂/p₁

By halving the volume, the pressure doubles.

Answer:
The pressure increases by a factor of 2.

You might be interested in

The tungsten filament of a light bulb has an operating temperature of about 2 100 K. If the emitting area of the filament is 1.0

Murljashka [212]

Answer:

75 W

Explanation:

$T$ = temperature of the filament = 2100 K

$A$ = Emitting area of the filament = 1 cm² = 10⁻⁴ m²

$e$ = Emissivity = 0.68

$\sigma$ = Stefan's constant = 5.67 x 10⁻⁸ Wm⁻²K⁻⁴

Using Stefan's law, Power output of the light bulb is given as

$P = \sigma e AT^{4} \\P = (5.67\times10^{-8}) (0.68) (10^{-4}) (2100)^{4}\\P = 75 W$

5 0

2 years ago

A train travels 90 kilometers in 4 hours, and then 82 kilometers in 1 hours. What is its average speed?

kvasek [131]

Average speed = total distance / total time.

That's 172 km / 5 hr = 34.4 km//hr

5 0

2 years ago

What is the mission of the mars Land Rover, and why is it important?

GaryK [48]

Primarily to survey and map the landscape of Mars for future missions. It also takes core samples and searches for water underground. This is important for many reasons, but most obviously for the upcoming missions to mars and the colonies that follow. Hope this helps?

4 0

2 years ago

An ancient club is found that contains 100 g of pure carbon and has an activity of 6.5 decays per second. Determine its age assu

never [62]

Answer:

The age of living tree is 11104 years.

Explanation:

Given that,

Mass of pure carbon = 100 g

Activity of this carbon is = 6.5 decays per second = 6.5 x60 decays/min =390 decays/m

We need to calculate the decay rate

$R=\dfrac{-dN}{dt}=\lambda N=\dfrac{0.693}{t_{\frac{1}{2}}}N$ ....(I)

Where, N = number of radio active atoms

$t_{\frac{1}{2}}$ =half life

We need to calculate the number of radio active atoms

For $N_{12_{c}}$

$N_{12_{c}}=\dfrac{N_{A}}{M}$

Where, $N_{A}$ =Avogadro number

$N_{12_{c}}=\dfrac{6.02\times10^{23}}{12}$

$N_{12_{c}}=5.02\times10^{22}\ nuclie/g$

For $N_{c_{14}}$

$N_{c_{14}}=1.30\times10^{-12}N_{12_{c}}$

$N_{c_{14}}=1.30\times10^{-12}\times5.02\times10^{22}$

$N_{c_{14}}=6.526\times10^{10}\ nuclei/g$

Put the value in the equation (I)

$R=\dfrac{0.693\times6.526\times10^{10}\times60}{5700\times3.16\times10^{7}}$

$R=15.0650\ decay/min g$

100 g carbon will decay with rate

$R=100\times15.0650=1507\ decay/min$

We need to calculate the total half lives

$(\dfrac{1}{2})^{n}=\dfrac{390}{1507}$

$2^n=\dfrac{1507}{390}$

$2^n=3.86$

$n ln 2=ln 3.86$

$n=\dfrac{ln 3.86}{ln 2}$

$n =1.948$

We need to calculate the age of living tree

Using formula of age

$t=n\times t_{\frac{1}{2}}$

$t=1.948\times5700$

$t=11103.6 =11104\ years$

Hence, The age of living tree is 11104 years.

5 0

3 years ago

What is the velocity of the boat if the passenger shoots at an angle 60 with horizontal ? The mass of boat with the passenger is

mixas84 [53]

Answer:

400cos(60) = 200m/s

100(v) = 0.035(200)

v= 0.07m/s

8 0

2 years ago