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In Physics / High School | 2014-09-11

A balloon holds 20.0 liters of helium at 10.0°C. If the temperature increases to 50.0°C and the pressure does not change, what will be the new volume of the balloon?

Asked by AnalisaCollaco359

Answer (3)

Volum at the beginning: V 1 ​ = 10 Volum at the end: V 2 ​ = V 1 ​ ∗ ( 1 + α ∗ ( t 2 ​ − t 1 ​ )) t 2 ​ − t 1 ​ = 50 − 10 = 40 α for helium = 0 , 003658 C 1 ​ As the result you get: V 2 ​ = 20 ∗ ( 1 + 0 , 003658 ∗ 40 ) = 22 , 9264 l Final volume of the balloon is 22,9264 liters.
(Only if it doesn't explode during being heated ;) just a joke)

Answered by MaciekMind | 2024-06-10

A **balloon **holds 20.0 liters of helium at 10.0°C. If the **temperature **increases to 50.0°C, and the pressure does not change, then the new **volume of the balloon is ** 100 L
What is temperature ?
**Temperature **is a physical quantity which **measures **hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature. Absolute scale of temperature means Kelvin scale of temperature. relation between Kelvin(K) and centigrade (°C), °C= K - 273.15 from equation, 273.15 K means 0 °C, which is freezing point of water (ice). when we give temperature to the body, its molecule or atom absorbs thermal energy and **vibrate **about their mean position. Amplitude of vibration get increases as we go on increasing temperature and for higher temperature force of attraction between molecules gets weaker. Hence for higher temperature , due to weaken the force of attraction between molecule, solid goes into liquid state. and further increase in temperature liquid goes into gaseous state.
Given,
initial Volume V1 = 20 L
Initial temperature T1 = 10.0°C
final temperature T2 = 50.0°C
Final volume V2 = ?
According to ideal gas equation,
PV1 = NRT1
PV2 = NRT2
dividing 2 by 1 both equations
V2/V1 = T2/T1
V2/20= 50/10
V2= 20 × 5 =** 100 L**
To know more about **Volume **:
https://brainly.com/question/13338592
#SPJ3.

Answered by eramkhanvt | 2024-06-17

Using Charles's Law, the new volume of the balloon at 50.0°C is approximately 22.84 liters when the pressure remains constant. This calculation incorporates the conversion of temperatures to Kelvin. Therefore, as the temperature increases, the volume of the gas expands accordingly.
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Answered by eramkhanvt | 2024-10-01