Cos(A)+cos(2A)+cos(3A)=0 is not an identity

It's 32°F (0°C) outside under normal atmospheric conditions (1 atm) at a stunt

Korolek [52]

The volume of the balloon is approximately 2652 liters.

<h3>How to determine the volume occupied by the gas in a balloon </h3>

Let suppose that <em>flammable</em> hydrogen behaves ideally. GIven the molar mass ( $M$ ), in kilograms per kilomole, and mass of the gas ( $m$ ), in kilograms. The volume occupied by the gas ( $V$ ), in cubic centimeters, is found by the equation of state for <em>ideal</em> gases:

$V = \frac{m\cdot R_{u}\cdot T}{P\cdot M}$ (1)

Where:

$R_{u}$ - Ideal gas constant, in kilopascal-cubic meters per kilomole-Kelvin.
$T$ - Temperature, in Kelvin
$P$ - Pressure, in kilopascals

If we know that $m = 0.239\,kg$ , $R_{u} = 8.314\,\frac{kPa\cdot m^{3}}{kmol\cdot K}$ , $T = 273.15\,K$ , $P = 101.325\,kPa$ and $M = 2.02\,\frac{kg}{kmol}$ , then the volume of the balloon is:

$V = \frac{(0.239\,kg)\cdot \left(8.314\,\frac{kPa\cdot m^{3}}{kmol\cdot K} \right)\cdot (273.15\,K)}{\left(101.325\,kPa\right)\cdot \left(2.02\,\frac{kg}{kmol} \right)}$

$V = 2.652\,m^{3}$ ( $2652\,L$ )

The volume of the balloon is approximately 2652 liters. $\blacksquare$

To learn more on ideal gases, we kindly invite to check this verified question: brainly.com/question/8711877

4 0

2 years ago

Please help with the question above!

Sergio [31]

Answer:

B

Explanation:

B

7 0

3 years ago

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Methanol has a normal boiling point of 64.6C and a heat of vaporization of 35.2 kJ/mol. What is the vapor pressure (in Torr) of

DENIUS [597]

Answer:

vapor pressure of methanol at 12.0C = 75.09 torr

Explanation:

Using Clausius Clapeyron equation

, we have that

ln (P2/P1)= (ΔHvap /R) (1/T1 - 1/T2)

Given

At Normal boiling point,

Temperature T1= 64.6°C = 64.6 + 273 = 337.6 K, Pressure,P1 = 1 atm

Heat of vaporization = 35.2 kJ/mol

Changing to J/mol

=35.2 x 1000= 35200 J/mol

Temperature , T2 = 12.0oC = 12 + 273 = 285 K

Using gas constant, R = 8.314 J/mol.K

ln (P2/P1)= -(ΔHvap /R) (1/T1 - 1/T2)

ln (P2/ 1 atm) = (35200 J/mol/ (8.314 J/mol.K) X( 1/337.6 - 1/285)

ln (P2/ 1 atm) =4,233.822 X (0.00296-0.003508)

ln (P2/ 1 atm) = 4,233.822468 x-0.0005466866

ln (P2/ 1 atm)= -2.31457

P2 = e^⁻2.31457 x 1 atm

P2=0.098808atm

= 0.098808atm x760 = 75.09 torr

7 0

3 years ago

What layer of the Earth is made of liquid metal?

xeze [42]

Answer:

the outer core

3 0

3 years ago

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Select all of the following statements that are basic assumptions of the Bohr model of the atom. Atoms have a central nucleus wi

Alekssandra [29.7K]

Answer:

The assumptions of the Bohr model of the atom are:

- Atoms have a central nucleus with electrons in orbit about this nucleus.

- They must gain energy to jump to a higher level, and they release energy when jumping to a lower level.

- Electrons orbit the nucleus, but the orbits can have only certain sizes and energy values.

Explanation:

The Bohr model of the atom establishes that atoms have a central nucleus with positive charge and electrons (with a negative charge) in orbit about this nucleus. In the Bohr model, electrons move in specific orbits with a certain amount of energy and can't jump from one orbit to another around the nucleus. To jump to a higher level, they must gain energy or release energy when jumping to a lower level.

The Thomson model of the atom postulated that <em>atoms are solid spheres of matter</em> and <em>are made of positive material with electrons fixed in place in this positive material</em>.

7 0

3 years ago

Cos(A)+cos(2A)+cos(3A)=0 is not an identity​

Cos(A)+cos(2A)+cos(3A)=0 is not an identity