Solution:
The gas's new temperature is 604K
Justification:
Assuming standard temperature and pressure, we can determine the gas's temperature using the ideal gas law;
Step 1: Formulate the general gas law equation
P1V1/T1 = P2V2/T2
Step 2: Insert the values, converting as needed to standard units.
P1 = 0.800 atm
V1 = 0.180 L
T1 = 29°C = 273 + 29 = 302K
P2 = 3.20 atm
V2 = 90 mL = 90 * 10^-3 L = 0.09 L
Step 3: Solve for T2
The new gas temperature T2 is calculated as:
T2 = P2V2T1/(P1V1)
T2 = 3.20 * 0.09 * 302 / (0.800 * 0.180)
T2 = 86.976 / 0.144
T2 = 604K
The gas's new temperature is 604K.
To calculate the moles of MgSO4.7H2O, we find the molar mass equals 246, thus moles = 32 / 246 = 0.13 moles. Upon heating, all 7 H2O from one molecule will evaporate. The total moles of H2O present amount to 7 x 0.13 = 0.91, and the mass of that H2O is 0.91 x 18 = 16.38g. Therefore, the mass of the anhydrous MgSO4 that remains is 32 - 16.38 = 15.62 g.
Boyle's law describes the relationship between gas pressure and volume.
It asserts that at a constant temperature, pressure is inversely proportional to gas volume.
PV = k
where P represents pressure, V denotes volume, and k is a constant.
P1V1 = P2V2
where the parameters for the initial condition are on the left, and the parameters for the second condition appear on the right side of the formula.
By substituting values into the equation: 4.00 atm x 500 L = 8.0 atm x V
V calculates to 250 L.
Thus, the new volume becomes 250 L.
The types of energies or the terms in this prompt correspond with the provided descriptions. Here are the lists: <span>
<span>a. The term that aligns most closely with this definition is MECHANICAL energy. Typically, mechanical energy refers to energy attributable to a body based on its movement and position. </span>
<span>b. The term associated with this item is LIGHT energy. This energy can be generated from various sources (e.g., radiation, chemical, and mechanical) and is emitted by hot objects like the sun, lasers, and bulbs.</span>
<span>c. Energy transferred by moving electrons through a conductor is known as ELECTRICAL energy. The flow of electrons along a conductor is commonly termed current. Furthermore, this energy type also represents kinetic energy due to electron motion; thus, quicker electron movement results in higher energy. </span>
<span>d. The energy contained in batteries or food is referred to as CHEMICAL energy. This energy is stored within the bonds of various chemical compounds and is predominantly released during reactions between elements or compounds.</span>
<span>e. Energy that propagates through vibrations and waves is called SOUND energy. This energy type relates to the movements or vibrations of matter and is classified as mechanical energy due to the waves produced by the vibrations.</span>
<span>f. NUCLEAR energy refers to the energy located in an atom's nucleus. Nuclear reactions frequently release this type of energy alongside the generation of heat. </span>
<span>g. The conserved energy is designated as POTENTIAL energy. Its formula is mgh, with h representing height related to the object's position. Upon release, this energy converts into other forms. </span>
<span>h. The term that matches this item is THERMAL energy. This energy can be transferred in three distinct methods: (1) conduction, (2) convection, and (3) radiation.</span></span>
Explanation:
It is established that 1 gram is equivalent to 1000 milligrams. We can express this mathematically in the following way.
or 
Thus, to convert grams to milligrams, we simply multiply the number by 1000. Conversely, for converting milligrams back to grams, we divide by 1000.
