Ka taea te tātaitai te ture o te korohū tino pai
Whakarautaki PV = nRT mō ētahi tāupe, i roto i tō tātou kōwhiringa o ngā wae o te pēhanga, te rōrahi me te pāmahana.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
The ideal gas law ties together the four state variables of a gas in one equation, PV = nRT: pressure times volume equals the number of moles times the gas constant times the absolute temperature. The constant R = 8.314462618 J/(mol·K) in SI units. Rearranged, you can solve for any variable — P = nRT/V, V = nRT/P, n = PV/RT or T = PV/nR — and this calculator does exactly that, converting pressure (Pa, kPa, bar, atm, mmHg, psi), volume (m³, L, mL, cm³) and temperature (K, °C, °F) internally so you can work in whatever units you have.
The classic worked example is one mole of gas at standard temperature and pressure: at 0 °C (273.15 K) and 1 atm, V = nRT/P = 1 × 8.314 × 273.15 / 101,325 ≈ 0.0224 m³, or the familiar 22.4 litres per mole. Heat that gas to 300 K at constant pressure and the volume rises in proportion, since V ∝ T. A crucial detail: temperature must be absolute — always convert °C or °F to kelvin (add 273.15 to °C) before the math, which the calculator handles for you.
The law is called "ideal" because it assumes gas molecules have no volume and do not attract one another. Real gases follow it closely at ordinary pressures and temperatures well above their boiling point, and it is the everyday tool for scuba and diving gas calculations, chemistry stoichiometry of gases, HVAC and pneumatics, and estimating how a balloon or tyre responds to heating and cooling. It becomes less accurate at very high pressure or near condensation, where equations like van der Waals do better.
Ko nga pātai e pā ana
He aha te ture o te korohū tino pai?
E hono ana a PV = nRT ki te pēhanga, te rōrahi, ngā momo me te pāmahana o te korohū tino pai mā te taupānga R = 8.314 J/(mol·K). Ka whakahōutia kia whakaotitia ai tētahi tāupe kotahi.
He aha nga wae tika?
Internally everything is SI — pascals, cubic metres, moles and kelvin — with R = 8.314. One mole of gas at 0 °C (273.15 K) and 1 atm occupies about 22.4 L (0.0224 m³). Enter any units you like; the calculator converts for you.
He aha te mahana me te tauwāhi i roto i te Kelvin?
PV = nRT ka whakamahia te pāmahana tino pai, i reira ko te 0 K te kore tino pai. He kore āhua noa te Celsius me te Fahrenheit, nā reira ko te whakapāpātanga ki te °C e tuku ana i ngā whakautu hē. Tāpiri i te 273.15 ki te °C hei whiwhi i te Kelvin — ka mahi ngāwari tēnei e te tātaitai.
He aha te STP me te rōrahi molar?
Ko te tikanga he 0 °C te pāmahana me te pēhanga paerewa me te 1 atm, i reira kotahi te momo korohū tino pai e noho ana tata ki te 22.4 lita. He tino tika tēnei "tōpū molar": mēnā kei te tawhiti o tōtou hua mō tētahi molaro tata ki ēnei āhuatanga mai i te 22.4 L, ka arotake anō ngā wae.
He pēhea te whakapeka o te ture korohū tino pai?
He tino tika ki ngā pēhanga pūnoa me ngā mahana i runga ake i te pito o te whakato, engari kāore e tika ana i ngā pēhanga tiketike, i te tata rānei ki te whakatōpūtanga, i te wāhi e hira ana te rahi rāpoi ngota me te āhua o te āhua o te rāpoi ngota.
He pēhea te pānga o te huringa o tētahi tāupe ki ētahi atu?
I ngā mārō pūmau, he pānga pāhono te pēhanga me te rōrahi (te ture a Boyle), ā, he pāhono hāngai te rōrahi me te pāmahana tino pai (te ture a Charles).
He aha te uara o R me whakamahia e au?
E whakawhirinaki ana ki ngā wae. I roto i te SI he 8.314 J / (mol · K); i roto i ngā haurangi-wae he 0.08206 L · atm / (mol · K). Ka mahi tēnei tātaitai i roto i te SI i roto me R = 8.314, nō reira ka taea e koe te tāuru i ētahi wae, ā, ka whakahōu i a rātou.
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka pānui te papatono API katoa →
Whakamutunga
GET https://calculator.free/api/v1/ideal-gas-law/curl
curl "https://calculator.free/api/v1/ideal-gas-law/?solve=volume&pressure=1&pressure_unit=atm&volume=22.4&volume_unit=l&moles=1&temperature=273.15&temperature_unit=k"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/ideal-gas-law/?" + new URLSearchParams({
"solve": "volume",
"pressure": "1",
"pressure_unit": "atm",
"volume": "22.4",
"volume_unit": "l",
"moles": "1",
"temperature": "273.15",
"temperature_unit": "k"
}));
const data = await r.json();
console.log(data.results);Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.