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vampirchik [111]
3 years ago
11

I have a hot air balloon that has 18.0 g helium gas inside of it. if the pressure is 2.00 atm and the temperature is 297k, what

is the volume of my balloon?
Physics
2 answers:
Anastaziya [24]3 years ago
4 0

M = molar mass of the helium gas = 4.0 g/mol

m = mass of the gas given = 18.0 g

n = number of moles of the gas

number of moles of the gas is given as

n = m/M

n = 18.0/4.0

n = 4.5 moles

P = pressure = 2.00 atm = 2.00 x 101325 Pa = 202650 Pa

V = Volume of balloon = ?

T = temperature = 297 K

R = universal gas constant = 8.314

Using the ideal gas equation

P V = n R T

(202650) V = (4.5) (8.314) (297)

V = 0.055 m³

Sloan [31]3 years ago
3 0

 The  volume  of   balloon is   54.86 L

  <u><em>calculation</em></u>

The volume is calculated using  the ideal  gas equation

That  is PV=nRT

where,

p= 2.00 atm

V= ?

n( number   of  moles)   which  is calculated as  below

moles = mass /molar mass = 18.0g / 4 g/mol = 4.5   moles

R ( gas constant) = 0.0821  L. atm / mol.K

T(Temperature) = 297 K


make  V the subject of the formula by diving  both side by P

V =nRT/P

V= {(4.5 moles x 0.0821 L.atm/mol.K x 297 K) / 2.00 atm} = 54.86 L





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3 years ago
A cannon with a muzzle speed of 1 000 m/s is used to start an avalanche on a mountain slope. The target is 2 000 m from the cann
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Answer:

∅ = 89.44°

Explanation:

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Bring out the given parameters from the question:

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where V_{1x} = velocity in the X - direction

           t = Time taken

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substituting equation 3 into equation 2

Vertical Distance = d = V_{1y} \frac{d}{cos o} - \frac{1}{2}g\frac{2}{cos0}   ^{2}

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  Applying geometry

                              \frac{1}{cos o} = tan^{2} o + 1

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               800 = 2000 tan ∅ - 2 (9.81)( tan^{2} o + 1)

              800 = 2000 tan ∅ - 19.6( tan^{2} o + 1)  Equation 4

Replacing tan ∅ = Q     .....................Equation 5

In order to get a quadratic equation that can be easily solve.

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                 tan ∅ = 101.63    or tan ∅ = 0.4114

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<h3 /><h3>Velocity: </h3>

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⇒ Formula:

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From the question,

⇒ Given:

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